US2611812A - Electrical control system - Google Patents

Electrical control system Download PDF

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US2611812A
US2611812A US632215A US63221545A US2611812A US 2611812 A US2611812 A US 2611812A US 632215 A US632215 A US 632215A US 63221545 A US63221545 A US 63221545A US 2611812 A US2611812 A US 2611812A
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core
receiver
rate
variable
transmitter
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Anthony J Hornfeck
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Elsag Bailey Inc
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Bailey Meter Co
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01FMEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
    • G01F1/00Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow
    • G01F1/05Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow by using mechanical effects
    • G01F1/34Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow by using mechanical effects by measuring pressure or differential pressure
    • G01F1/36Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow by using mechanical effects by measuring pressure or differential pressure the pressure or differential pressure being created by the use of flow constriction
    • G01F1/37Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow by using mechanical effects by measuring pressure or differential pressure the pressure or differential pressure being created by the use of flow constriction the pressure or differential pressure being measured by means of communicating tubes or reservoirs with movable fluid levels, e.g. by U-tubes
    • G01F1/372Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow by using mechanical effects by measuring pressure or differential pressure the pressure or differential pressure being created by the use of flow constriction the pressure or differential pressure being measured by means of communicating tubes or reservoirs with movable fluid levels, e.g. by U-tubes with electrical or electro-mechanical indication

Definitions

  • This invention relates to electrical measurin and control systems, and particularly to balanceable electric networks for calculating the interrelation or functional values of variables.
  • variables may be quantities, qualities, conditions, positions, or the like.
  • variable may be the rate of flow of a fluid to be measured.
  • a visual indication or continuous record is desirably to be in units of volume rate or weight rate per unit of time and frequently an integration withrespect to time.
  • means sensitive to such a differential pressure and produce, at a local or remote location, a continuous visual indication in terms of weight rate or volume rate. In other words, to continuously extract the square root.
  • My calculating system is adapted to the production of a function of a variable or to the use of a function of the variable in producing a measurement of the variable.
  • a functional relation between the variable and some indication of the variable may be a square root relation or a flve halves power or the like.
  • a further object of my invention is to provide a telemetering calculator wherein the network comprises what 1- term a transmitter and what I term a receiver which may be located adjacent Fig. 2 is an electric circuit showing a modification of Fig. l. v
  • Fig. 3 is a further modification combining certain of the features of Fig. l and Fig. 2.
  • Fig. 4 is an embodiment of my invention for extracting substantially any functional relation whether integral or odd.
  • Fig. l I show diagrammatically a balanceable electrical network primarily useful, by way of example, in extracting the square root of a variable such as fluid rate of flow through a conduit 1.
  • Figlis a diagrammatic embodiment of my invention in connection with a fluid rate of" flow meter.
  • the coeflicient of discharge remains substantially constant for any one ratio of orifice diameter to pipe diameter, regardless of the density or specific volume of the fluid being measured. With 0, M and go all remaining constant, then Q varies as the Vh.
  • Equation 1 If it is desired to measure the flowing fluid in units of weight, Equation 1 becomes:
  • My invention as illustrated by'one embodiment, in Fig. 1, provides a simple and accurate solution of the combination of the two problems above stated, namely, a remote visual indication of the measurement of a fluid fiow in terms of rate.
  • I electrically extract the square root in the electrical network used in telemetering the fioat position to a point of visual indication.
  • a flow meter 3 comprising a u -tube having legs 4 and 5 joined by a tube 6.
  • Asealing liquid such as mercury, partially fills the U-tube.
  • a float 7 On the surface of the mercury in leg 5 is a float 7 adapted to position a magnetic member such as a core piece 8 within a portion of the leg 5 of non-"magnetic material.
  • the meter 3 which I will term the transmitter, comprises a movable core transformer having a primary alternating current energized winding 9 and a pair of bucking secondary windings l0, II.
  • the bucking secondary windings I0, I I are inductively energized from the primary winding 9 through the agency of the core 8.
  • a voltage E1 is developed as a function of core position.
  • I- indicate what I term the receiver including the necessary elements for maintaining the network in balance and for providing a visual indication, and/or record, of the flow rate.
  • the receiver may be located adjacent to or remote from the transmitter.
  • I show an alternating current energized primary winding l similar to-the primary winding 9 and connected in series therewith across an alternating current source of power It. I also provide, at the receiver, -a pair of bucking secondary windings l1, l8 similar to the transmitter windings l0, ll. windings I5, I! and I8 is a core piece l9 manually positionable by the knob 20 for initial zero and range calibration or adjustment.
  • the contact arm 24 is connected to a terminal 25 of a slide wire resistance 26.
  • the other terminal 21 of the resistance 26 joins the conductor 28 which connects the terminals [3, 22.
  • Adjustably contacting the resistance 26 is an arm 3
  • along the resistance 26-1 designate as 0.
  • the voltage between the terminals 21, 30 or across the conductors 28, 29 I designateas e.
  • the voltage across the terminals I2, 30 I designate as ch.
  • the circuit including. the windings 10, II, I 1, l8, the resistances 23-, 26- and the conductors 28-, 29 comprise a balanceable network of the null type.
  • the circuit is in balance 811 0.
  • the circuit is unbalanced through movement of the core 8 then the direction and extent of suchunbalance is evidenced by an alternating current of plus phase or of minus phase between the terminals l2 and 30 and a voltageeb representative of the extent of unbalance.
  • Inserted in the conductor 29 between the terminals l2 and 30-1 include an amplifier 32 and motor control-33-for controlling the direction and speed of rotation of a motor whose function is to position the contact-arms 24, 3! and to simultaneously position an indicator arm 35 relative a scale 36 anda time revoluble chart 37.
  • the circuit 32, 33 is disclosed in the Ryder Patents 2,275,317 and 2,333,393, as well as in my Patent-2-,439,891. It is, therefore, not believedto be necessary to go into any considerable detail in that regard in the present application.
  • the amplifier'32 is phase sensitive to the voltage eb for selective control of the electron discharge devices 38, 39, which in turn selectively control the saturable core reactors 40, 4
  • the motor 34 is ofthe'capacitor-run type having two windings 42-, 43 ninety electrical degrees apart and a capacitor 44. When current flow is through one of the windings directly across the alternating current source and through the other winding in series with the capacitor across the alternating current source the motor rotates in predetermined direction. The direction of rotation and speed thereof is determined by whether the saturable core reactor 40 or reactor predominates and the extent of predominance.
  • a change in position of the core 8 will unbalance the network.
  • the direction of such unbalance and the magnitude thereof will be evidenced by a plus phase or a minus phase across the terminals I2, 30 and by the magnitude of the voltage es.
  • the phase sensitive amplifier 32 will cause the'motor control circuit 33 to cause the motor to rotate in predetermined direction and speed to position the contact arms 24 and 3
  • the rotation of the motor 34 is linear with respect to 0 and thus the positioning of the arm 35 is linear with respect to the scale 36 and the chart 31.
  • the motion of the motor 34 is not, however, linear with respect to the motion as of the core 8 or inferentially to the change in differential pressure.
  • the motor 34 may also position a contact 45 relative to a resistance 46 for control purposes or other purposes requiring a linear motion with relation to rate of fluid through the conduit I.
  • FIG. 3 I show an arrangement whereby I can extract any integral root; but not a fractional root such as the five halves power relationbetween head and rate of liquid flow over a V-notch weir for example.
  • the circuit is in some respects a combination of Figs. 1 and 2 in that'I show the motor 34 simultaneously positioning the slide wire contacts 24 and 3
  • the motor 34 is under, the control of units 32; and 33 .as previously described. Positioned by the motor34 is a linear rise cam 5
  • v.thecore 8 may be positioned (as in Fig. D'by' differential pressure, and it be desired that the indication 53, 56 and the indication 54, 51 be the square root of differential pressure or directly in terms of fluid rate of flow through the orifice 2.
  • the cam 52 is shaped as. the square rather than as the square root, and this gives a particular advantage in that it gives a very slow rise at zero whereas the square root cam would hav an infinite rise at zero.
  • the relationship between head of liquid at the weir and rate of flow over the weir is a five halves power relationship.
  • the indicator-53, 5B or the indicator 54, 51 be readable directly in terms of weight rate of liquid over the weir or in accordance tviththefive halves power of the head at the weir.”
  • the cam 52 would be shaped to extract the five halves power. The operation is'as follows:
  • a transmitter including means te continuously convert-exponential function of a variable to an equivalent electric potential; a receiver hav ingmeans to provide an opposing potentialat least as large as the maximum value of the first potential potential adjusting; means between the receiver potential and thetransmitter potential including; aseries of individual potential adjusting devices arranged with the firstdevice oftheseries selecting a portion of theenergization.
  • Apparatus for performing electrical evolution including in combination a connected transmitter and receiver, the former adapted to deliver a otential corresponding in value to an exponential function of a variable, the latter including an indicator pointer movable over a linear scale graduated in terms of the variable, said receiver having a source of opposing potential equal to the maximum potential available from the transmitter, potential adjusting means between said receiver potential and that of the transmitter, motor means responsive to unbalance between the transmitter and adjusted receiver potentials to actuate said pointer and said potential adjusting means to balance said potentials, said potential adjusting means comprising tothe quantity rais'edto the (a) power or;(Q)'
  • a shunt connected across said receiver secondaries, a slider movable over said shunt, a second shunt across the portion of the first shunt between the slider and one end thereof, a second slider to select a portion of the voltage on the second shunt, there being a shunt and slider for each unit of power of the variable at the transmitter, conductors connecting the output of the last shunt and slider in opposition to the secondary output of the transmitter, means responsive to unbalance voltage in said conductors to actuate said sliders to provide balance, the arrangement being such that all sliders are moved in the same ratio, and a pointer directly moved by said last mentioned means to cooperate with a linear scale to indicate the actual value of said variable.
  • a telemetering and calculating system including in combination, a transmitter having an excited primary winding and two opposed connected secondaries, a core movable to unbalance said secondaries in response to a movement equivalent to an integral power of a variable whereby a potential corresponding to said power is delivered, a receiver electrically connected to the transmitter and including a primary excited in common with that of the transmitter, two pposed connected secondaries and a core, a shunt connected across said receiver secondaries, a slider movable over said shunt, a second shunt across the portion of the first shunt between the slider and one end thereof, a second slider to select a portion of the voltage on the second shunt, there being a shunt and slider for each unit of power of the variable at the transmitter above one, conductors connecting the output or the last shunt and slider in opposition to the potential delivered by the transmitter, motor means responsive to unbalance voltage in said conductors to actuate said sliders and receiver core to provide balance, the arrangement being such that all sliders and
  • a telemetering and calculating system including in combination, a transmitter having an excited primary winding and two like, spaced secondaries connected in series opposition, a, core movable only from a position neutral to said secondaries to one side of neutral to unbalance them and produce a potential which is a linear function of the percentage of core movement from neutral, means to move said core in accordance with an integral power of a variable whereby the produced potential corresponds to the value of said power; a receiver including a primary excited in common with that of the transmitter, two like spaced secondaries connected in series opposition, a movable core, a shunt connected across said secondaries, a slider movable over said shunt to select portions or its potential equivalent to the linear displacement of the slider on the shunt, a corresponding shunt and slider cascaded to the first for each integer above one in the said power, conductors connecting the output of the last shunt and slider in opposition to the secondary output of the transmitter, means responsive to unbalance voltage in said conductors to actuate said
  • a system as defined in claim 8 in which the receiver also actuates a control means in linear relation to the value of said variable.
  • a system as defined in claim 8 in which the transmitter core is positioned by the float or a U-tube orifice type flow meter where float and core position represent the square of the rate of fluid flow through the meter and in which two cascaded shunts at the receiver extract the square root of the variable and indicate the value of flow directly on a linear scale.

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  • Physics & Mathematics (AREA)
  • Fluid Mechanics (AREA)
  • General Physics & Mathematics (AREA)
  • Measuring Volume Flow (AREA)

Description

A. J- HQRNFECK ELECTRICAL CONTROL SYSTEM Sept. 23, 1952 Filed Dec. 1, 1945 2 SHEETS-SHEET 1 llll llll INVENTOR. ANTHONY J. HORNI 'ECK ATT NEY P 1952 A. J. HORNFECK ELECTRICAL CONTROL SYSTEM 2 SHEETS-SHEET 2 Filed Dec. 1, l945 INVENTOR.
ANTHONY J. HORNFEOK FIG. 4
ATT NE Y Patented Sept. 23,1952
FMIE
ELECTRICAL CONTROL SYSTEM I I Anthony J. Hornfeck, Cleveland Heights, Ohio,
assignor to Bailey Meter Company, a corporation of Delaware Application December 1, 1945, Serial No. 632,215 10 Claims. (01. file-351) This invention relates to electrical measurin and control systems, and particularly to balanceable electric networks for calculating the interrelation or functional values of variables. Such variables may be quantities, qualities, conditions, positions, or the like.
For example such a variable may be the rate of flow of a fluid to be measured.
In the measurement or determination of a variable it is frequently desirable to give a result in terms of a function of the variable, or conversely it is frequently desirable to use'a function of the variable in ascertaining the value of the variable. For example, in measuring or determining the volume rate of flowor weight rate of flow of a fluid through a-conduit, it is more expeditious to employ the pressure differential produced by the fluid passing through a restriction in a conduit as an indication inferentially of the actual'volume rate or weight rate of the fluid. A quadratic relation exists between such differential pressure and the actual rate of flow.
The result, as for instance a visual indication or continuous record, is desirably to be in units of volume rate or weight rate per unit of time and frequently an integration withrespect to time. Through the agency of my invention it is readily possible to have means sensitive to such a differential pressure and produce, at a local or remote location, a continuous visual indication in terms of weight rate or volume rate. In other words, to continuously extract the square root.
My calculating system is adapted to the production of a function of a variable or to the use of a function of the variable in producing a measurement of the variable.- For example, a functional relation between the variable and some indication of the variable may be a square root relation or a flve halves power or the like.
A further object of my invention is to provide a telemetering calculator wherein the network comprises what 1- term a transmitter and what I term a receiver which may be located adjacent Fig. 2 is an electric circuit showing a modification of Fig. l. v
Fig. 3 is a further modification combining certain of the features of Fig. l and Fig. 2.
Fig. 4 is an embodiment of my invention for extracting substantially any functional relation whether integral or odd.
In Fig. l, I show diagrammatically a balanceable electrical network primarily useful, by way of example, in extracting the square root of a variable such as fluid rate of flow through a conduit 1.
It is common in the metering art to insert a h=differential head in ft. of the flowing fluid.
the one to the other, or remotely from eachv other. Inasmuch as the invention is incorporated in a balanceable electric network it is feasible to locate the transmitter and the receiver a considerable distance apart if desired.
Further objects will be understood and appreciated from a study of the drawings and the description to follow.
In the drawings:
Figlis a diagrammatic embodiment of my invention in connection with a fluid rate of" flow meter.
The coeflicient of discharge remains substantially constant for any one ratio of orifice diameter to pipe diameter, regardless of the density or specific volume of the fluid being measured. With 0, M and go all remaining constant, then Q varies as the Vh. I
If it is desired to measure the flowing fluid in units of weight, Equation 1 becomes:
W=cMx/2ghd (2) where In each case, whether the measurement ism volume rate or in weight rate, it will be observed that the rate varies as the Vh, i. e. as the square root of the difierential pressure measured across the orifice or other restriction 2.
Numerous complicated metering arrangements have been proposed and used for extracting the square root relationship between head and rate. The simplest possible form of U-tube manometer with a float on the mercury in one leg will provide a measurement of the diiferential pressure. The complication occurs in the mechanism necessary to translate such float motion into terms of rate of flow.
In a large percentage of applications it is desired to provide one or more remote indications (or recordings) of the flow measurement. Various telemetric schemes have been proposed and used, both hydraulic, pneumatic or electrical.
My invention, as illustrated by'one embodiment, in Fig. 1, provides a simple and accurate solution of the combination of the two problems above stated, namely, a remote visual indication of the measurement of a fluid fiow in terms of rate. I electrically extract the square root in the electrical network used in telemetering the fioat position to a point of visual indication.
Referring now specifically to Fig. 1, I show a flow meter 3 comprising a u -tube having legs 4 and 5 joined by a tube 6. Asealing liquid, such as mercury, partially fills the U-tube. On the surface of the mercury in leg 5 is a float 7 adapted to position a magnetic member such as a core piece 8 within a portion of the leg 5 of non-"magnetic material.
The basic telemetering circuit involved is disclosed in my copending application Serial No. 569,479, now Patent 2,439,891, dated April 20, 1948, wherein the meter 3, which I will term the transmitter, comprises a movable core transformer having a primary alternating current energized winding 9 and a pair of bucking secondary windings l0, II. The bucking secondary windings I0, I I are inductively energized from the primary winding 9 through the agency of the core 8. When the core is in a central or neutral position relative the windings 9, l and H a voltage E1=0 exists across the terminals I2, 13. When the core is moved from neutral position toward one end of the coil assembly a voltage E1 is developed as a function of core position. The relation is linear over the operating range. I designate the motion of the core 8 from its neutral position as 1 or 100% for a movement corresponding to maximum range of the apparatus. The proportion-ate movement for any mathematical consideration-of the system is designated as :c. Thus for in movement of the core 8 there will be a certain change in the voltage l1 across the terminals l2, l3.
At I4 I- indicate what I term the receiver including the necessary elements for maintaining the network in balance and for providing a visual indication, and/or record, of the flow rate. The receiver may be located adjacent to or remote from the transmitter.
It will be appreciated that while I am describing my invention as applied to the measurement of a fluid rate of fiow, this is by way of example only and the invention may be in similar manner applied to the measurement of other variables involving a functional relationship intheir' determination or interpretation.
At the receiver I show an alternating current energized primary winding l similar to-the primary winding 9 and connected in series therewith across an alternating current source of power It. I also provide, at the receiver, -a pair of bucking secondary windings l1, l8 similar to the transmitter windings l0, ll. windings I5, I! and I8 is a core piece l9 manually positionable by the knob 20 for initial zero and range calibration or adjustment.
Across the terminals 2|, 22 of the secondary windings there will exist a voltage E2. The core 8 starts from a position central or neutral relative the windings 9, I0 and I l and moves its total travel in one direction therefrom. At maximum value a, corresponding to maximum rate of fluid flow, voltage E1=E2.
Across the terminals 2|, 22 I provide a slide wire resistance 23 adjustably contacted by an arm 24 whose function of travel is indicated by 0.
The contact arm 24 is connected to a terminal 25 of a slide wire resistance 26. The other terminal 21 of the resistance 26 joins the conductor 28 which connects the terminals [3, 22. Adjustably contacting the resistance 26 is an arm 3| joined to aterminal 30 of a conductor 29. The function of motion of the-contact 3| along the resistance 26-1 designate as 0. The voltage between the terminals 21, 30 or across the conductors 28, 29 I designateas e. The voltage across the terminals I2, 30 I designate as ch.
The circuit including. the windings 10, II, I 1, l8, the resistances 23-, 26- and the conductors 28-, 29 comprise a balanceable network of the null type. When the circuit is in balance 811 0. When the circuit is unbalanced through movement of the core 8 then the direction and extent of suchunbalance is evidenced by an alternating current of plus phase or of minus phase between the terminals l2 and 30 and a voltageeb representative of the extent of unbalance.
Inserted in the conductor 29 between the terminals l2 and 30-1 include an amplifier 32 and motor control-33-for controlling the direction and speed of rotation of a motor whose function is to position the contact- arms 24, 3! and to simultaneously position an indicator arm 35 relative a scale 36 anda time revoluble chart 37. The circuit 32, 33 is disclosed in the Ryder Patents 2,275,317 and 2,333,393, as well as in my Patent-2-,439,891. It is, therefore, not believedto be necessary to go into any considerable detail in that regard in the present application. Suffice it to say that the amplifier'32 is phase sensitive to the voltage eb for selective control of the electron discharge devices 38, 39, which in turn selectively control the saturable core reactors 40, 4|, as well as the magnitude of their output. The motor 34 is ofthe'capacitor-run type having two windings 42-, 43 ninety electrical degrees apart and a capacitor 44. When current flow is through one of the windings directly across the alternating current source and through the other winding in series with the capacitor across the alternating current source the motor rotates in predetermined direction. The direction of rotation and speed thereof is determined by whether the saturable core reactor 40 or reactor predominates and the extent of predominance.
In operation, assuming a balanced electrical condition of the network, a change in position of the core 8 will unbalance the network. The direction of such unbalance and the magnitude thereof will be evidenced by a plus phase or a minus phase across the terminals I2, 30 and by the magnitude of the voltage es. The phase sensitive amplifier 32 will cause the'motor control circuit 33 to cause the motor to rotate in predetermined direction and speed to position the contact arms 24 and 3| simultaneously along the Coupling theresistances 23 and 26 respectively until the network is in balance, at which time b== and motor rotation ceases. The rotation of the motor 34 is linear with respect to 0 and thus the positioning of the arm 35 is linear with respect to the scale 36 and the chart 31. The motion of the motor 34 is not, however, linear with respect to the motion as of the core 8 or inferentially to the change in differential pressure.
Thus a change in differential pressure across the orifice 2 (resulting from a change in rate of flow) extracts the functional relation between the two and produces an indication and record upon 36, 31 in linearvrelation to rate of flow.
Inasmuch as the angle of rotation of the motor 34 is linear with rate of fiow and the motion of the contact arms 24, 3| relative to the slide wires 23, 26 is similarly linear, and the motion of the indicator arm 35 relative to the scale 36 and chart 3! is linear, then the motor may also position a contact 45 relative to a resistance 46 for control purposes or other purposes requiring a linear motion with relation to rate of fluid through the conduit I.
The balancing of the network and the extraction of the square root function may be explained as follows:
At balance and hence Let Actual rotation of slidewires S and 8; Max. possible rotation of slidewires S and S2 Actual displacement of core 8 Max. possible displacement of core 8 v actual head M max. head E =Max. voltage available across secondaries of transmitting solenoid and receiving solenoid (when X 1) E =E (by positioning of 19 with 20) E 6=voltage between and 22 6 (voltage between 25 and 22) 9 Then e=E20'0=E20 NorE.For this relation to hold accurately it is necessary that the resistance of slide wire S2 be much higher than S1. If S2 10S1 the relation is quite accurate.
So that for any movement a: (due to change in differential pressure) the resultant :motion 0 of In the circuit of Fig. 2 I have At balance: i 1 E1=e At each instant E1=Eoa3 and e=E2 also E2=E0y making e='Eoy0 now on a percent basis making substituting values of E1 and e in the first equa tion, then V Ecl2=Eo0 and The result is that positioning of the motor 34, the arm 24 and the core L) are in linear relation to the'square root of the motion of core-8.
In'Fig. 3 I show an arrangement whereby I can extract any integral root; but not a fractional root such as the five halves power relationbetween head and rate of liquid flow over a V-notch weir for example. Referring to Fig. 3, the circuit is in some respects a combination of Figs. 1 and 2 in that'I show the motor 34 simultaneously positioning the slide wire contacts 24 and 3| as well as the receiver core I9. It willfof course, be appreciated that in both Figs. 2 and 3 I have not felt it necessary to show the motor 34 positioning an indicator arm 35 or a remote control arm 45, which would merely duplic e that part of the showing of Fig. 1. I
The functioning of the circuit of Fig. 3 is as follows:
E1=En$ and E2=E0y where Eo=voltage developed when solenoid cores are at position, at balance E1=6 013=E0y0 Since Y=Q on a percent basis E0C=Eo0 and r v=(ac) 7 InFigs. 2 and 3v manual adjustment and range may be accomplished by moving the contact 41 over the resistance 48.
In Fig.4 I show the possibility of range and adjustment through manually positioning the contact arms/41 and'49 relative to the resistances 48 andw50. V I
The motor 34 is under, the control of units 32; and 33 .as previously described. Positioned by the motor34 is a linear rise cam 5| and a functional rise cam 52., The motor rotation and the cam 51 being linear, then the. indicator pointers 53 and 54 are linear values, while the positioning of the rocker arm 55, and consequently of the receiver core l9, through the agency of the cam 52, is in accordance with the square root or five halves .power or other functional relation between the variable which po sitions the core 8 and the desired indication on the scale 56 or the scale51.
By way of example v.thecore 8 may be positioned (as in Fig. D'by' differential pressure, and it be desired that the indication 53, 56 and the indication 54, 51 be the square root of differential pressure or directly in terms of fluid rate of flow through the orifice 2. In that event the cam 52 is shaped as. the square rather than as the square root, and this gives a particular advantage in that it gives a very slow rise at zero whereas the square root cam would hav an infinite rise at zero.
Further by way of example, if we have a liquid flowing over a V-notch weir the relationship between head of liquid at the weir and rate of flow over the weir is a five halves power relationship. In that event-ifthe core 8 is positioned in accordance with headthen it would be desiredthat the indicator-53, 5B or the indicator 54, 51 be readable directly in terms of weight rate of liquid over the weir or in accordance tviththefive halves power of the head at the weir." 'In that event the cam 52 would be shaped to extract the five halves power. The operation is'as follows:
I designate on Fig. 4 that the angular rotation ofthe motor 34 and of the cams 5| and 52 is linear and therefore the angular rotation of the cam 52 and the rise of the roller'on 54' are linear and equal to. 0. I
=(0) E1= Eo1L'=E'o'(Q) E2=Eoy=E0(0') Since E2 E1 at balance so that et :0
(a) (Q) a 0:62
From the above it will be seen that the rotation of the motor 34 is linear and 0:62 the quantity or rate of flow because the motion of x is equal 1. In' a calculating network, in combination, a transmitter including means te continuously convert-exponential function of a variable to an equivalent electric potential; a receiver hav ingmeans to provide an opposing potentialat least as large as the maximum value of the first potential potential adjusting; means between the receiver potential and thetransmitter potential including; aseries of individual potential adjusting devices arranged with the firstdevice oftheseries selecting a portion of theenergization. potential of the receiver and each subsequent-devicexof the series selecting a-portion of the potential of its precedingdevice; an indicator movable over a linear scale; means responsive to unbalance between thetransmitter and receiver potentials for. actuatinga balancing and indicator operatingmotor; mechanical connections between. the motor and several individualpotential adjustingdevices to adjust them linearly; and a mechanical connection between the xmotor and indicator tov move the same linearly over said scale.
2. The calculating network Tdefinedin claim'l in which the means providing the opposing .potential atthe receiver comprises a primary'winding energized from a source of A.C.;f said'first potential adjusting device of the series comprises two opposed connected secondaries and a movable core coupling them to the primary; and the subsequent deviceof the series includes a resistance connected across said secondaries and a slider movable over said resistance.
3. The calculating network defined in claim 1, in which at least one of the potential adjusting devices is of the potentiometer type.
4. The apparatus as claimed in claim 1 in which the means responsive to unbalance actuates each potential adjusting device to effect the same percentage adjustment.
5. Apparatus for performing electrical evolution including in combination a connected transmitter and receiver, the former adapted to deliver a otential corresponding in value to an exponential function of a variable, the latter including an indicator pointer movable over a linear scale graduated in terms of the variable, said receiver having a source of opposing potential equal to the maximum potential available from the transmitter, potential adjusting means between said receiver potential and that of the transmitter, motor means responsive to unbalance between the transmitter and adjusted receiver potentials to actuate said pointer and said potential adjusting means to balance said potentials, said potential adjusting means comprising tothe quantity rais'edto the (a) power or;(Q)'
while the motion Y of the core I9 (through the agency of the cam 52) is equal to (6) It will thus be seen that I have disclosed embodiments of my invention directed to extracting functional relationships -of different kind and aresistor across the receiver potential, a slider movable over said resistor to select aportion of it, a resistor across said portion, and a slider to connected in opposition, a core movable to unbalance said secondaries in response'to a'movement equivalent'to an integral power of' a variable whereby a potential corresponding to said' power is delivered, [a receiver electrically connected tothe transmitter and including a primaryexcited in common with that of the transmitter, two secondaries connected in opposition and ,a core adjustable for calibration. a shunt connected across said receiver secondaries, a slider movable over said shunt, a second shunt across the portion of the first shunt between the slider and one end thereof, a second slider to select a portion of the voltage on the second shunt, there being a shunt and slider for each unit of power of the variable at the transmitter, conductors connecting the output of the last shunt and slider in opposition to the secondary output of the transmitter, means responsive to unbalance voltage in said conductors to actuate said sliders to provide balance, the arrangement being such that all sliders are moved in the same ratio, and a pointer directly moved by said last mentioned means to cooperate with a linear scale to indicate the actual value of said variable.
7. A telemetering and calculating system including in combination, a transmitter having an excited primary winding and two opposed connected secondaries, a core movable to unbalance said secondaries in response to a movement equivalent to an integral power of a variable whereby a potential corresponding to said power is delivered, a receiver electrically connected to the transmitter and including a primary excited in common with that of the transmitter, two pposed connected secondaries and a core, a shunt connected across said receiver secondaries, a slider movable over said shunt, a second shunt across the portion of the first shunt between the slider and one end thereof, a second slider to select a portion of the voltage on the second shunt, there being a shunt and slider for each unit of power of the variable at the transmitter above one, conductors connecting the output or the last shunt and slider in opposition to the potential delivered by the transmitter, motor means responsive to unbalance voltage in said conductors to actuate said sliders and receiver core to provide balance, the arrangement being such that all sliders and core are moved to produce the same ratio of reduction in voltage controlled thereby, and a pointer directly moved by said motor means to cooperate with a linear scale to indicate the actual value of said variable.
8. A telemetering and calculating system including in combination, a transmitter having an excited primary winding and two like, spaced secondaries connected in series opposition, a, core movable only from a position neutral to said secondaries to one side of neutral to unbalance them and produce a potential which is a linear function of the percentage of core movement from neutral, means to move said core in accordance with an integral power of a variable whereby the produced potential corresponds to the value of said power; a receiver including a primary excited in common with that of the transmitter, two like spaced secondaries connected in series opposition, a movable core, a shunt connected across said secondaries, a slider movable over said shunt to select portions or its potential equivalent to the linear displacement of the slider on the shunt, a corresponding shunt and slider cascaded to the first for each integer above one in the said power, conductors connecting the output of the last shunt and slider in opposition to the secondary output of the transmitter, means responsive to unbalance voltage in said conductors to actuate said sliders each to the same percentage of its shunt to provide balance, and means movable in linear relation to one of said sliders to designate the value of said variable on a uniform scale.
9. A system as defined in claim 8 in which the receiver also actuates a control means in linear relation to the value of said variable.
10. A system as defined in claim 8 in which the transmitter core is positioned by the float or a U-tube orifice type flow meter where float and core position represent the square of the rate of fluid flow through the meter and in which two cascaded shunts at the receiver extract the square root of the variable and indicate the value of flow directly on a linear scale.
ANTHONY J. HORNFECK.
REFERENCES CITED The following references are of record in the file of this patent:
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Cited By (24)

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US2695981A (en) * 1949-08-13 1954-11-30 Republic Flow Meters Co Follow-up type of measuring apparatus
US2698406A (en) * 1950-02-18 1954-12-28 Honeywell Regulator Co Balanceable network measuring apparatus
US2774019A (en) * 1953-01-26 1956-12-11 Bailey Meter Co Electric servo system for measuring and control
US2794971A (en) * 1955-03-17 1957-06-04 Bailey Meter Co Measuring system
US2808721A (en) * 1951-06-11 1957-10-08 Tenius Olsen Testing Machine C Registering system for use in conjunction with testing machines
US2825893A (en) * 1953-06-29 1958-03-04 Schechter Bernard Motion translation system
US2885611A (en) * 1954-06-10 1959-05-05 Automatic Timing & Controls Telemetering servomotor system
US2892940A (en) * 1955-04-04 1959-06-30 Burroughs Corp Voltage comparator
US2934751A (en) * 1957-05-07 1960-04-26 Howe Scale Company Apparatus for effecting automatic batching of composite mixtures
US2941147A (en) * 1952-09-08 1960-06-14 Bristol Company Variable sensitivity measuring apparatus
US2965715A (en) * 1957-06-05 1960-12-20 Peter G S Mero Follow-up systems and apparatus
US2992373A (en) * 1958-12-15 1961-07-11 Toledo Scale Corp Electrical displacement measuring servosystem
US2997698A (en) * 1956-01-30 1961-08-22 Daystrom Inc Telemetering system
US3085191A (en) * 1959-03-19 1963-04-09 Howe Richardson Scale Co Apparatus for effecting automatic batching of composite mixtures
US3204460A (en) * 1962-08-13 1965-09-07 United States Steel Corp System for indicating the liquid level in a continuous-casting mold or the like
US3259820A (en) * 1961-03-14 1966-07-05 Nuclear Materials & Equipment Computer apparatus
US3263496A (en) * 1963-03-14 1966-08-02 Radson Engineering Corp Load cell and weighing system
US3382433A (en) * 1963-11-19 1968-05-07 Army Usa Self-balancing servomotor operated automatic calibrator
US3408548A (en) * 1964-06-29 1968-10-29 Gen Signal Corp Controller including a multivibratorfed step motor
US3742515A (en) * 1970-08-21 1973-06-26 Milton Roy Co Chart recorder data integrator
US4414634A (en) * 1981-07-17 1983-11-08 The Scott & Fetzer Company Fluid flow totalizer
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US4799169A (en) * 1987-05-26 1989-01-17 Mark Industries, Inc. Gas well flow instrumentation
RU2445582C1 (en) * 2010-10-27 2012-03-20 Николай Леонидович Егоров Device with turning bypass for measuring water-gas-oil flows

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Cited By (26)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2695981A (en) * 1949-08-13 1954-11-30 Republic Flow Meters Co Follow-up type of measuring apparatus
US2698406A (en) * 1950-02-18 1954-12-28 Honeywell Regulator Co Balanceable network measuring apparatus
US2808721A (en) * 1951-06-11 1957-10-08 Tenius Olsen Testing Machine C Registering system for use in conjunction with testing machines
US2941147A (en) * 1952-09-08 1960-06-14 Bristol Company Variable sensitivity measuring apparatus
US2774019A (en) * 1953-01-26 1956-12-11 Bailey Meter Co Electric servo system for measuring and control
US2825893A (en) * 1953-06-29 1958-03-04 Schechter Bernard Motion translation system
US2885611A (en) * 1954-06-10 1959-05-05 Automatic Timing & Controls Telemetering servomotor system
US2794971A (en) * 1955-03-17 1957-06-04 Bailey Meter Co Measuring system
US2892940A (en) * 1955-04-04 1959-06-30 Burroughs Corp Voltage comparator
US2997698A (en) * 1956-01-30 1961-08-22 Daystrom Inc Telemetering system
US2934751A (en) * 1957-05-07 1960-04-26 Howe Scale Company Apparatus for effecting automatic batching of composite mixtures
US2965715A (en) * 1957-06-05 1960-12-20 Peter G S Mero Follow-up systems and apparatus
US2992373A (en) * 1958-12-15 1961-07-11 Toledo Scale Corp Electrical displacement measuring servosystem
US3085191A (en) * 1959-03-19 1963-04-09 Howe Richardson Scale Co Apparatus for effecting automatic batching of composite mixtures
US3259820A (en) * 1961-03-14 1966-07-05 Nuclear Materials & Equipment Computer apparatus
US3204460A (en) * 1962-08-13 1965-09-07 United States Steel Corp System for indicating the liquid level in a continuous-casting mold or the like
US3263496A (en) * 1963-03-14 1966-08-02 Radson Engineering Corp Load cell and weighing system
US3382433A (en) * 1963-11-19 1968-05-07 Army Usa Self-balancing servomotor operated automatic calibrator
US3408548A (en) * 1964-06-29 1968-10-29 Gen Signal Corp Controller including a multivibratorfed step motor
US3742515A (en) * 1970-08-21 1973-06-26 Milton Roy Co Chart recorder data integrator
US4414634A (en) * 1981-07-17 1983-11-08 The Scott & Fetzer Company Fluid flow totalizer
US4799169A (en) * 1987-05-26 1989-01-17 Mark Industries, Inc. Gas well flow instrumentation
FR2617593A1 (en) * 1987-07-01 1989-01-06 Intevep Sa METHOD AND INSTALLATION FOR DETERMINING THE FLOW OF A FLUID IN A CONDUCT
DE3822057A1 (en) * 1987-07-01 1989-01-12 Intevep Sa METHOD AND DEVICE FOR DETERMINING THE FLOW RATE OF A FLOW MEDIUM IN A PIPELINE
US4837708A (en) * 1987-07-01 1989-06-06 Maraven, S.A. Process and apparatus for determining flow rate of a flow medium in a flow line
RU2445582C1 (en) * 2010-10-27 2012-03-20 Николай Леонидович Егоров Device with turning bypass for measuring water-gas-oil flows

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